TSTP Solution File: GRP344-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP344-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:08:11 EDT 2024
% Result : Unsatisfiable 0.62s 0.76s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 164 ( 6 unt; 0 def)
% Number of atoms : 474 ( 168 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 597 ( 287 ~; 291 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f716,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f35,f40,f45,f50,f51,f52,f53,f58,f59,f60,f61,f66,f67,f68,f69,f86,f89,f112,f122,f133,f137,f139,f147,f181,f344,f423,f425,f427,f430,f533,f577,f603,f614,f715]) ).
fof(f715,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f714,f118,f105,f55,f47,f23,f118]) ).
fof(f23,plain,
( spl0_1
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f47,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f55,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f105,plain,
( spl0_16
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f118,plain,
( spl0_18
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f714,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f698,f25]) ).
fof(f25,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f698,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f107,f674]) ).
fof(f674,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f650,f624]) ).
fof(f624,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f339,f119]) ).
fof(f119,plain,
( sk_c6 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f339,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f25]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f650,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f645,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f645,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f3,f631]) ).
fof(f631,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f629,f340]) ).
fof(f340,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f629,plain,
( identity = multiply(sk_c6,multiply(sk_c6,sk_c2))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f564,f119]) ).
fof(f564,plain,
( identity = multiply(sk_c7,multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f349,f550]) ).
fof(f550,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f342,f340]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f349,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f339]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f107,plain,
( sk_c6 != inverse(identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f614,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f589,f109,f81,f63,f118,f55]) ).
fof(f63,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f81,plain,
( spl0_12
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f109,plain,
( spl0_17
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f589,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f82,f580]) ).
fof(f580,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f65,f110]) ).
fof(f110,plain,
( sk_c6 = sk_c5
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f65,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f82,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f603,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f598,f109,f63,f55,f47,f23,f118]) ).
fof(f598,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f49,f587]) ).
fof(f587,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f584,f555]) ).
fof(f555,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f554,f474]) ).
fof(f474,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f349,f49]) ).
fof(f554,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f549,f548]) ).
fof(f548,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f342,f503]) ).
fof(f503,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f356,f65]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f352,f1]) ).
fof(f352,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f340]) ).
fof(f549,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f342,f4]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f584,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f548,f110]) ).
fof(f577,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f576,f63,f55,f47,f23,f109]) ).
fof(f576,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f575,f555]) ).
fof(f575,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f573,f555]) ).
fof(f573,plain,
( sk_c5 = multiply(sk_c7,multiply(sk_c7,sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f349,f548]) ).
fof(f533,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f523,f78,f63,f55]) ).
fof(f78,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f523,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f522]) ).
fof(f522,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f79,f65]) ).
fof(f79,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f430,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f429,f118,f95,f124]) ).
fof(f124,plain,
( spl0_19
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f95,plain,
( spl0_14
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f429,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f96,f119]) ).
fof(f96,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f427,plain,
( ~ spl0_19
| ~ spl0_4
| ~ spl0_5
| spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f426,f109,f105,f42,f37,f124]) ).
fof(f37,plain,
( spl0_4
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f42,plain,
( spl0_5
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f426,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_5
| spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f107,f399]) ).
fof(f399,plain,
( identity = sk_c4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f365,f182]) ).
fof(f182,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f149,f110]) ).
fof(f149,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f365,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f185,f263]) ).
fof(f263,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f250,f173]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f149]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f167,f185]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f44]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f3,f182]) ).
fof(f425,plain,
( ~ spl0_18
| spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f183,f109,f99,f118]) ).
fof(f99,plain,
( spl0_15
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f183,plain,
( sk_c6 != sk_c7
| spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f101,f110]) ).
fof(f101,plain,
( sk_c7 != sk_c5
| spl0_15 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f423,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f422,f109,f42,f37,f118]) ).
fof(f422,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f406,f110]) ).
fof(f406,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f4,f365]) ).
fof(f344,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f343,f75,f47,f23]) ).
fof(f75,plain,
( spl0_10
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f343,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f76,f49]) ).
fof(f76,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f181,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f178,f32,f27,f109]) ).
fof(f27,plain,
( spl0_2
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f32,plain,
( spl0_3
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f178,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f4,f174]) ).
fof(f174,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f172,f29]) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f172,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f164,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f148]) ).
fof(f148,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f147,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f146,f75,f32,f27,f118]) ).
fof(f146,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f143,f34]) ).
fof(f143,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f141]) ).
fof(f141,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f76,f29]) ).
fof(f139,plain,
( ~ spl0_15
| ~ spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f138,f95,f37,f99]) ).
fof(f138,plain,
( sk_c7 != sk_c5
| ~ spl0_4
| spl0_14 ),
inference(superposition,[],[f97,f39]) ).
fof(f97,plain,
( sk_c7 != inverse(sk_c4)
| spl0_14 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f137,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f131,f84,f42,f37]) ).
fof(f84,plain,
( spl0_13
<=> ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f131,plain,
( sk_c5 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f130]) ).
fof(f130,plain,
( sk_c5 != sk_c5
| sk_c5 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f85,f44]) ).
fof(f85,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f133,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f132,f84,f109,f105]) ).
fof(f132,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl0_13 ),
inference(inner_rewriting,[],[f128]) ).
fof(f128,plain,
( sk_c6 != sk_c5
| sk_c5 != inverse(identity)
| ~ spl0_13 ),
inference(superposition,[],[f85,f1]) ).
fof(f122,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f116,f81,f27,f32]) ).
fof(f116,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f114]) ).
fof(f114,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f82,f29]) ).
fof(f112,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f103,f78,f109,f105]) ).
fof(f103,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl0_11 ),
inference(superposition,[],[f79,f1]) ).
fof(f89,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl0_9 ),
inference(trivial_inequality_removal,[],[f87]) ).
fof(f87,plain,
( sk_c5 != sk_c5
| spl0_9 ),
inference(superposition,[],[f73,f4]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_9
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f86,plain,
( ~ spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f84,f81,f78,f75,f71]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f69,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f42,f63]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f68,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f37,f63]) ).
fof(f19,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f67,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f32,f63]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f66,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f27,f63]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f61,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f42,f55]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f60,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f37,f55]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f59,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f32,f55]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f58,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f27,f55]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f53,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f42,f47]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f52,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f37,f47]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f51,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f32,f47]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f50,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f27,f47]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f45,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f42,f23]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f40,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f37,f23]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f35,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f32,f23]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f30,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f27,f23]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP344-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 04:09:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.75 % (19603)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75 % (19603)Refutation not found, incomplete strategy% (19603)------------------------------
% 0.55/0.75 % (19603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19603)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19603)Memory used [KB]: 983
% 0.55/0.75 % (19603)Time elapsed: 0.002 s
% 0.55/0.75 % (19603)Instructions burned: 3 (million)
% 0.55/0.75 % (19595)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (19598)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75 % (19597)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.75 % (19599)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75 % (19603)------------------------------
% 0.55/0.75 % (19603)------------------------------
% 0.55/0.75 % (19601)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75 % (19600)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (19602)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.75 % (19595)Refutation not found, incomplete strategy% (19595)------------------------------
% 0.55/0.75 % (19595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19595)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19595)Memory used [KB]: 998
% 0.55/0.75 % (19595)Time elapsed: 0.003 s
% 0.55/0.75 % (19599)Refutation not found, incomplete strategy% (19599)------------------------------
% 0.55/0.75 % (19599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19595)Instructions burned: 3 (million)
% 0.55/0.75 % (19599)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19599)Memory used [KB]: 983
% 0.55/0.75 % (19599)Time elapsed: 0.003 s
% 0.55/0.75 % (19599)Instructions burned: 3 (million)
% 0.55/0.75 % (19600)Refutation not found, incomplete strategy% (19600)------------------------------
% 0.55/0.75 % (19600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19600)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19600)Memory used [KB]: 998
% 0.55/0.75 % (19600)Time elapsed: 0.003 s
% 0.55/0.75 % (19600)Instructions burned: 3 (million)
% 0.55/0.75 % (19595)------------------------------
% 0.55/0.75 % (19595)------------------------------
% 0.55/0.75 % (19599)------------------------------
% 0.55/0.75 % (19599)------------------------------
% 0.55/0.75 % (19600)------------------------------
% 0.55/0.75 % (19600)------------------------------
% 0.55/0.75 % (19607)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.55/0.75 % (19598)Refutation not found, incomplete strategy% (19598)------------------------------
% 0.55/0.75 % (19598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19598)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19598)Memory used [KB]: 1057
% 0.55/0.75 % (19598)Time elapsed: 0.004 s
% 0.55/0.75 % (19598)Instructions burned: 5 (million)
% 0.55/0.75 % (19598)------------------------------
% 0.55/0.75 % (19598)------------------------------
% 0.55/0.75 % (19609)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.55/0.75 % (19610)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.76 % (19611)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.62/0.76 % (19612)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.62/0.76 % (19609)Refutation not found, incomplete strategy% (19609)------------------------------
% 0.62/0.76 % (19609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (19609)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (19609)Memory used [KB]: 992
% 0.62/0.76 % (19609)Time elapsed: 0.003 s
% 0.62/0.76 % (19609)Instructions burned: 4 (million)
% 0.62/0.76 % (19609)------------------------------
% 0.62/0.76 % (19609)------------------------------
% 0.62/0.76 % (19616)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.62/0.76 % (19597)First to succeed.
% 0.62/0.76 % (19616)Refutation not found, incomplete strategy% (19616)------------------------------
% 0.62/0.76 % (19616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (19616)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (19616)Memory used [KB]: 1002
% 0.62/0.76 % (19616)Time elapsed: 0.003 s
% 0.62/0.76 % (19616)Instructions burned: 3 (million)
% 0.62/0.76 % (19616)------------------------------
% 0.62/0.76 % (19616)------------------------------
% 0.62/0.76 % (19597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19492"
% 0.62/0.76 % (19597)Refutation found. Thanks to Tanya!
% 0.62/0.76 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.77 % (19597)------------------------------
% 0.62/0.77 % (19597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (19597)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (19597)Memory used [KB]: 1197
% 0.62/0.77 % (19597)Time elapsed: 0.017 s
% 0.62/0.77 % (19597)Instructions burned: 26 (million)
% 0.62/0.77 % (19492)Success in time 0.397 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------